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Finding the Fourth Proportional to 11,645.69, 16,071.12 and 6,340.51

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Solution

The fourth proportional to 11,645.69, 16,071.12 and 6,340.51 is: 8,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.69 : 16,071.12 = 6,340.51 : x
  2. Step 2: Convert to fraction form
    11,645.69/16,071.12 = 6,340.51/x
  3. Step 3: Cross multiply
    11,645.69x = 16,071.12 × 6,340.51
  4. Step 4: Simplify right side
    11,645.69x = 101,898,985.01
  5. Step 5: Solve for x
    x = 101,898,985.01/11,645.69
  6. Step 6: Final answer
    x = 8,749.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.